The function for the cost of materials to make a muffin is f(x)=3/4x+3 where x is the number of muffin the function for the selling price of those muffins is g(f(x)) where g(x)=3x+4 find the selling price of 20 muffins

Respuesta :

G of F of X, in this case, would be 3(3/4x +3) + 4. Plugging in 20 gives you 3(3/4(20) +3)+4 = $58

Answer:

The selling price of those muffind is $58.

Step-by-step explanation:

The cost of materials to make a muffin is

[tex]f(x)=\frac{3}{4}x+3[/tex]

Their selling price is determined by [tex]g(f(x))[/tex], where

[tex]g(x)=3x+4[/tex]

So, to find the selling price of 20 muffin, we just have to introduce x=20 in the first function, and its results introduce it in the second function, because [tex]g(f(x))[/tex] expresses that the first function must be introduce in the second function.

[tex]f(x)=\frac{3}{4}x+3\\f(20)=\frac{3}{4}(20)+3=3(5)+3=15+3=18[/tex]

Then,

[tex]g(x)=3x+4\\g(18)=3(18)+4=54+4=58[/tex]

Therefore, the selling price of those muffind is $58.

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